Calculus 10th Edition

$f'(t)=2t^4(5\cos{t}-t\sin{t}).$
Product Rule $f'(t)=((u(t)(v(t))’=u’(t)v(t)+u(t)v’(t))$ $u(t)=2t^5 ;u’(t)=10t^4$ $v(t)=\cos{t} ;v’(t)=-\sin{t}$ $f'(t)=(10t^4)(\cos{t})+(-\sin{t})(2t^5)$ $2t^4(5\cos{t}-t\sin{t}).$